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Simplifying -17p + -6(6 + -4p) = 4(p + -4) + -14 -17p + (6 * -6 + -4p * -6) = 4(p + -4) + -14 -17p + (-36 + 24p) = 4(p + -4) + -14 Reorder the terms: -36 + -17p + 24p = 4(p + -4) + -14 Combine like terms: -17p + 24p = 7p -36 + 7p = 4(p + -4) + -14 Reorder the terms: -36 + 7p = 4(-4 + p) + -14 -36 + 7p = (-4 * 4 + p * 4) + -14 -36 + 7p = (-16 + 4p) + -14 Reorder the terms: -36 + 7p = -16 + -14 + 4p Combine like terms: -16 + -14 = -30 -36 + 7p = -30 + 4p Solving -36 + 7p = -30 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -36 + 7p + -4p = -30 + 4p + -4p Combine like terms: 7p + -4p = 3p -36 + 3p = -30 + 4p + -4p Combine like terms: 4p + -4p = 0 -36 + 3p = -30 + 0 -36 + 3p = -30 Add '36' to each side of the equation. -36 + 36 + 3p = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 3p = -30 + 36 3p = -30 + 36 Combine like terms: -30 + 36 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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